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202122122102201 = 7971154611923353
BaseRepresentation
bin101101111101010000111001…
…010010100000010110111001
3222111122200112012202110222202
4231331100321102200112321
5202443032101224232301
61553513342050555545
760400561415465060
oct5575207122402671
9874580465673882
10202122122102201
1159447568683024
121a804755898bb5
1388a205a566692
1437caa975bb1d7
1518579d84a366b
hexb7d4394a05b9

202122122102201 has 16 divisors (see below), whose sum is σ = 231249682885248. Its totient is φ = 173057827574400.

The previous prime is 202122122102143. The next prime is 202122122102207. The reversal of 202122122102201 is 102201221221202.

202122122102201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202122122102201 - 218 = 202122121840057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202122122102207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104126741 + ... + 106050093.

It is an arithmetic number, because the mean of its divisors is an integer number (14453105180328).

Almost surely, 2202122122102201 is an apocalyptic number.

It is an amenable number.

202122122102201 is a deficient number, since it is larger than the sum of its proper divisors (29127560783047).

202122122102201 is a wasteful number, since it uses less digits than its factorization.

202122122102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939792.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 202122122102201 its reverse (102201221221202), we get a palindrome (304323343323403).

The spelling of 202122122102201 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred two thousand, two hundred one".

Divisors: 1 7 971 6797 15461 108227 1923353 13463471 15012631 105088417 1867575763 13073030341 29736960733 208158725131 28874588871743 202122122102201